Most population questions ask about when the population will reach etc. This one's different though. The second one is with cones but I'm not sure if the volume is increasing per unit of time or height.

I think the units should be because given the situation, the volume would have to be increasing on the second problem.

May 25th 2007, 01:41 PM

Jhevon

Quote:

Originally Posted by SportfreundeKeaneKent

Most population questions ask about when the population will reach etc. This one's different though. The second one is with cones but I'm not sure if the volume is increasing per unit of time or height.

Most population questions ask about when the population will reach etc. This one's different though. The second one is with cones but I'm not sure if the volume is increasing per unit of time or height.

I'll give you some hints, but I'm sure janvdl will give you the exact process.

For problem 1:

We want: , but as you see, is not a function of t.

Here's how we take care of that.
Find: at . I hope that makes sense to you.

For problem 2:

We want: when .

Use the fact that:
Thus:, where to solve this.

Good luck! :D

May 25th 2007, 01:45 PM

ecMathGeek

Yours looks prettier than mine. ;) (I should have substituted for r as well.)

May 25th 2007, 02:09 PM

Jhevon

Quote:

Originally Posted by SportfreundeKeaneKent

Most population questions ask about when the population will reach etc. This one's different though. The second one is with cones but I'm not sure if the volume is increasing per unit of time or height.

is L the cuberoot of p^3 + 10p^2 + 599 or is it 3 times the squareroot of that?

May 25th 2007, 02:28 PM

Jhevon

Quote:

Originally Posted by SportfreundeKeaneKent

Most population questions ask about when the population will reach etc. This one's different though. The second one is with cones but I'm not sure if the volume is increasing per unit of time or height.